English

An efficient algorithm for generating transmission irregular trees

Discrete Mathematics 2026-02-20 v1 Combinatorics

Abstract

The transmission of a vertex in a connected graph is the sum of distances from that vertex to all the other vertices. A connected graph is transmission irregular if any two distinct vertices have different transmissions. We present an efficient algorithm that generates all the transmission irregular trees up to a given order, up to isomorphism.

Keywords

Cite

@article{arxiv.2502.15453,
  title  = {An efficient algorithm for generating transmission irregular trees},
  author = {Ivan Stošić and Ivan Damnjanović},
  journal= {arXiv preprint arXiv:2502.15453},
  year   = {2026}
}
R2 v1 2026-06-28T21:52:44.467Z